NEW YORK, Nov 2 (Reuters) - Higher rates and inflation pressures weighed on emerging market stock flows in October while overall flows to China rebounded, data from the Institute of International Finance showed on Tuesday. Emerging market (EM) securities pulled in $24.9 billion from foreign accounts in October, according to the IIF data. The number compares with last month’s $31.8 billion and with $61.8 billion in foreign flows into EM in October last year. Debt securities accounted for a net $20.1 billion haul from EMs last month while equities received net $4.8 billion, though there was a $2.5 billion outflow from stocks outside of China. It was the fourth monthly outflow in the past six months for EM equities outside of China, pushing the year-to-date outflows for ex-China EM stocks to near $16 billion. “The focus for the coming months will be in how central banks can wrestle inflation fears and anchor expectations,” wrote Jonathan Fortun, an economist at the IIF. Emerging markets “have started to aggressively hike (interest rates), yet we also note some level of divergence on how policymakers plan to confront inflation fears. Overall, these concerns have hurt the outlook” on EM equities outside of China, Fortun wrote. Chinese stocks took in $7.3 billion last month, while flows to Chinese debt rebounded to $6.3 billion following September’s $6 billion outflow. China took in 55% of all flows to EM in the IIF data for October. Reporting by Rodrigo Campos; Editing by Sam Holmes